What is the Greatest Common Factor of 18018 and 18037?

Greatest common factor (GCF) of 18018 and 18037 is 1.

GCF(18018,18037) = 1

We will now calculate the prime factors of 18018 and 18037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18018 and 18037.

How to find the GCF of 18018 and 18037?

We will first find the prime factorization of 18018 and 18037. After we will calculate the factors of 18018 and 18037 and find the biggest common factor number .

Step-1: Prime Factorization of 18018

Prime factors of 18018 are 2, 3, 7, 11, 13. Prime factorization of 18018 in exponential form is:

18018 = 2¹ × 3² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 18037

Prime factors of 18037 are 17, 1061. Prime factorization of 18037 in exponential form is:

18037 = 17¹ × 1061¹

Step-3: Factors of 18018

List of positive integer factors of 18018 that divides 18018 without a remainder.

1, 2, 3, 6, 7, 9, 11, 13, 14, 18, 21, 22, 26, 33, 39, 42, 63, 66, 77, 78, 91, 99, 117, 126, 143, 154, 182, 198, 231, 234, 273, 286, 429, 462, 546, 693, 819, 858, 1001, 1287, 1386, 1638, 2002, 2574, 3003, 6006, 9009

Step-4: Factors of 18037

List of positive integer factors of 18037 that divides 18018 without a remainder.

1, 17, 1061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18018 and 18037. The biggest common factor number is the GCF number.
So the greatest common factor 18018 and 18037 is 1.

Also check out the Least Common Multiple of 18018 and 18037